In each of Problems 9 through 24, using the linearity of L − 1 , partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function: 2 s 3 + 3 s 2 + 4 s + 3 ( s 2 + 1 ) ( s 2 + 4 ) TABLE 5. 3. 1 Elementary Laplace transforms. f ( t ) = L − 1 { F ( s ) } F ( s ) = L { f ( t ) } sin a t a s 2 + a 2 , s > 0 cos a t s s 2 + a 2 , s > 0
In each of Problems 9 through 24, using the linearity of L − 1 , partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function: 2 s 3 + 3 s 2 + 4 s + 3 ( s 2 + 1 ) ( s 2 + 4 ) TABLE 5. 3. 1 Elementary Laplace transforms. f ( t ) = L − 1 { F ( s ) } F ( s ) = L { f ( t ) } sin a t a s 2 + a 2 , s > 0 cos a t s s 2 + a 2 , s > 0
In each of Problems 9 through 24, using the linearity of
L
−
1
, partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function:
2
s
3
+
3
s
2
+
4
s
+
3
(
s
2
+
1
)
(
s
2
+
4
)
TABLE 5. 3. 1
Elementary Laplace transforms.
f
(
t
)
=
L
−
1
{
F
(
s
)
}
F
(
s
)
=
L
{
f
(
t
)
}
sin
a
t
a
s
2
+
a
2
,
s
>
0
cos
a
t
s
s
2
+
a
2
,
s
>
0
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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